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Finding the Fourth Proportional to 8,343.24, 12,517.02 and 3,149.16

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Solution

The fourth proportional to 8,343.24, 12,517.02 and 3,149.16 is: 4,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.24 : 12,517.02 = 3,149.16 : x
  2. Step 2: Convert to fraction form
    8,343.24/12,517.02 = 3,149.16/x
  3. Step 3: Cross multiply
    8,343.24x = 12,517.02 × 3,149.16
  4. Step 4: Simplify right side
    8,343.24x = 39,418,098.70
  5. Step 5: Solve for x
    x = 39,418,098.70/8,343.24
  6. Step 6: Final answer
    x = 4,724.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.